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Topic: power to a power to a power
Replies: 20   Last Post: Oct 4, 2013 1:12 PM

 Messages: [ Previous | Next ]
 Jussi Piitulainen Posts: 355 Registered: 12/12/04
Re: power to a power to a power
Posted: Sep 14, 2013 6:01 AM

Jean Dubois writes:

> when a succession of powers like e.g. a^b^c is written
> should this be interpreted as:
> 1. (a^b)^c
> or as
> 2. a^(b^c)
> Which a logical reason is there to chose one or the other?
> and how about the interpretation of:
> a^b^c^d
> how to interprete this using brackets?

As a^(b^c), and the latter as a^(b^(c^d)).

As a sort of a rationale for the convention, note that (a^b)^c can be
expressed without parentheses, when superscripts are available, as
a^(bc).

Date Subject Author
9/14/13 Jean Dubois
9/14/13 Jussi Piitulainen
9/14/13 Brian Q. Hutchings
9/15/13 IV
9/15/13 scattered
9/15/13 Brian Q. Hutchings
9/16/13 Bill Taylor
9/16/13 IV
9/16/13 Barry Schwarz
9/21/13 IV
9/16/13 Virgil
9/17/13 scattered
9/17/13 Brian Q. Hutchings
9/21/13 IV
9/21/13 IV
10/2/13 Dan Christensen